We investigate a kind of interacting Chaplygin gas model in which the Chaplygin gas plays the role of dark energy and interacts with cold dark matter particles .
We find that there exists a stable scaling solution at late times with the Universe evolving into a phase of steady state .
Furthermore , the effective equation of state of Chaplygin gas may cross the so-called phantom divide w = -1 .
The above results are derived from continuity equations , which means that they are independent of any gravity theories .
Assuming standard general relativity and a spatially flat FRW metric , we also find the deceleration parameter is well consistent with current observations .